The first point is that here is safe enough from being cut.
Black will not want to play this way, blighting the corner stone.
Black's usual replies are a (most popular), b and c.
If here, White normally plays
in the corner. Now there are two variations.
Playing in the corner allows White good shape - the counter-atari with
at
isn't playable here.
Instead, and
to cut in the centre lead to a large-scale fight (Black 11 at a) with White requiring a way to make shape in the centre.
In this case White needs to connect, and usually turns to attack the pincer stone. Next Black can jump, the standard way to stay light, but also simply extend.
If Black jumps White has the thicker position after and
.
Black's intention in extending is to provoke a pushing battle in the centre. You can say that is a typical heavy play, but here
is natural and
goes for power on the upper side first. Black's corner stones are resilient enough.
If Black extends to here, the old move in this position, White again puts pressure on the pincer stone.